Question

If p/q= (4/9)^-3 ÷(4/9)^-2, find (p/q)^-1 + (q/p)^-1 ??

Answer 1

Answer:

Given :-

☞ p/q=(4/9)^-3÷(4/9)^-2

☞ p/q=(9/4)^3÷(9/4)^2

☞ p/q=9/4

☞ q/p=4/9

now we have to find:-

☞(p/q)^-1÷(q/p)^-1

=(q/p)^1÷(q/p)^-1

=(q/p)^2

=(4/9)^2

=16/81

hope it helps you